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	Application of the complete multiple reciprocity method for 3D impedance extraction with multiple frequency points
	Yan, Changhao ; Yu, Wenjian ; Wang, Zeyi
	2010-05-06 ; 2010-05-06
关键词	multiple reciprocity method boundary element method impedance extraction multiple frequency points 3D VLSI interconnects BOUNDARY-ELEMENT METHOD HELMHOLTZ-EQUATION EIGENVALUE ANALYSIS VALUED FORMULATION DOMAIN Engineering, Multidisciplinary Mathematics, Interdisciplinary Applications
中文摘要	A complete multiple reciprocity method (CMRM), usually employed for the eigenvalue analysis of Helmholtz equation, is applied to impedance calculation of 3D electric structures for multiple frequency points. Based on a recently proposed boundary integral formulations for impedance calculation, the CMRM is used to separate the boundary integrals into the frequency-dependent and frequency-independent portions so as to accelerate the computation for multiple frequency points. A set of approaches is proposed to handle the severe numerical problems induced by the large varieties of distance r and frequency-dependent k, when applying the CMRM to impedance calculation. As a result, the near-field integrals are calculated with the inner product of a frequency-independent sequence and a frequency-dependent sequence, while the far-field integrals are calculated with an efficient approximate formula. Since the majority of the calculation for generating the overall linear equation system becomes reusable, the impedance extraction with multiple frequency points is greatly accelerated. Several typical structures of interconnects are calculated with the boundary element method combined with CMRM. Numerical results verify the accuracy and efficiency of the proposed methods. (C) 2006 Elsevier Ltd. All rights reserved.
语种	英语 ; 英语
出版者	ELSEVIER SCI LTD ; OXFORD ; THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, OXON, ENGLAND
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/10151]
专题	清华大学
推荐引用方式 GB/T 7714	Yan, Changhao,Yu, Wenjian,Wang, Zeyi. Application of the complete multiple reciprocity method for 3D impedance extraction with multiple frequency points[J],2010, 2010.
APA	Yan, Changhao,Yu, Wenjian,&Wang, Zeyi.(2010).Application of the complete multiple reciprocity method for 3D impedance extraction with multiple frequency points..
MLA	Yan, Changhao,et al."Application of the complete multiple reciprocity method for 3D impedance extraction with multiple frequency points".(2010).

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